Near-Pulse Solutions of the FitzHugh–Nagumo Equations on Cylindrical Surfaces
| العنوان: | Near-Pulse Solutions of the FitzHugh–Nagumo Equations on Cylindrical Surfaces |
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| المؤلفون: | Almut Burchard, Afroditi Talidou, Israel Michael Sigal |
| المصدر: | Journal of Nonlinear Science. 31 |
| بيانات النشر: | Springer Science and Business Media LLC, 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | Physics, Surface (mathematics), Quantitative Biology::Neurons and Cognition, Applied Mathematics, Mathematical analysis, General Engineering, Fitzhugh nagumo, 01 natural sciences, Stability (probability), 010305 fluids & plasmas, Pulse (physics), 010101 applied mathematics, Azimuth, Mathematics - Analysis of PDEs, Planar, Modeling and Simulation, 0103 physical sciences, FOS: Mathematics, Cylinder, 0101 mathematics, Analysis of PDEs (math.AP) |
| الوصف: | We introduce a geometrical extension of the FitzHugh–Nagumo equations describing propagation of electrical impulses in nerve axons. In this extension, the axon is modeled as a warped cylinder, rather than a straight line, as is usually done. Nearly planar pulses propagate on its surface, along the cylindrical axis, as is the case with real axons. We prove the stability of electrical impulses for a straight (or standard) cylinder and existence and stability of pulse-like solutions for warped cylinders whose radii are small and vary slowly along their lengths and depend also on the azimuthal angle. |
| تدمد: | 1432-1467 0938-8974 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e3b280d3763595a83f2c7517b79269f https://doi.org/10.1007/s00332-021-09710-8 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....9e3b280d3763595a83f2c7517b79269f |
| قاعدة البيانات: | OpenAIRE |
Find this article in full text from Springer Verlag. | تدمد: | 14321467 09388974 |
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